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Split-step Milstein methods for multi-channel stiff stochastic differential systems

We consider split-step Milstein methods for the solution of stiff stochastic differential equations with an emphasis on systems driven by multi-channel noise. We show their strong order of convergence and investigate mean-square stability properties for different noise and drift structures. The stability matrices are established in a form convenient for analyzing their impact arising from different deterministic drift integrators. Numerical examples are provided to illustrate the effectiveness and reliability of these methods.

preprint2014arXivOpen access
V. ReshniakA. Q. M. KhaliqD. A. VossG. Zhang
math.DSmath.PRmath.NA
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Open access4 authors3 topics
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V. ReshniakA. Q. M. KhaliqD. A. VossG. Zhang

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